PROBLEM 1A PROBLEM 2A PROBLEM 3A PROBLEM 4A PROBLEM 1B PROBLEM 4B PROBLEM 2B PROBLEM 3B TRIANGLES AS...
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Transcript of PROBLEM 1A PROBLEM 2A PROBLEM 3A PROBLEM 4A PROBLEM 1B PROBLEM 4B PROBLEM 2B PROBLEM 3B TRIANGLES AS...
PROBLEM 1A
PROBLEM 2A
PROBLEM 3A
PROBLEM 4A
PROBLEM 1B
PROBLEM 4B
PROBLEM 2B
PROBLEM 3B
TRIANGLES AS POLYGONS: CLASSIFICATION
PRESENTATION CREATED BY SIMON PEREZ RHS. All rights reserved
Standards 4 and 5
REFLEXIVE, SYMMETRIC AND TRANSITIVE PROPERTIES
EXTERIOR ANGLE THEOREM
CPCTC
ANGLE SUM THEOREM
PROBLEM 5A PROBLEM 5B
STANDARD 4:Students prove basic theorems involving congruence and similarity.
ESTÁNDAR 4: Los estudiantes prueban teoremas que involucran congruencia y semejanza.
STANDARD 5:Students prove that triangles are congruent or similar, and they are able to use the concept of corresponding parts of congruent triangles.
ESTÁNDAR 5: Los estudiantes prueban que son triángulos congruentes o semejantes y son capaces de usar el concepto de partes correspondientes de triángulos congruentes.
These are examples of POLYGONS:
These are NOT POLYGONS:
A POLYGON is a closed figure in a plane which is made up of line segments, called sides, that intersect only at their endpoints, named vertices.
Standards 4 and 5
A TRIANGLE is a three-sided polygon
Standards 4 and 5
55°
64° 61°
21°
110° 49°
RIGHT TRIANGLE
ACUTE TRIANGLE
OBTUSE TRIANGLE
CLASSIFYING TRIANGLES BY ANGLESANGLES
STANDARDS 4 and 5
PRESENTATION CREATED BY SIMON PEREZ RHS. All rights reserved
Parts of a RIGHT TRIANGLE
Leg
Leg
HYPOTENUSE
Right Angle
A
Am =180°
B
Bm+
C
Cm+If and A = 90°m then
=180°Bm+ Cm+90°- 90° -90°
=90°Bm Cm+
Conclusion: In a right triangle, both non- right angles are acute and complementary!
What kind of angles are the non-right angles in a right triangle?
CLASSIFYING TRIANGLES BY SIDESSIDES
10
4
9 22 22
9
13 13
13
SCALENE TRIANGLE
ISOSCELES TRIANGLE
EQUILATERAL TRIANGLE
Standards 4 and 5
Sample Questions
Identify the triangles by their angles and their sides
A
CB D
Right Triangles
Obtuse Triangles
Isosceles Triangles
Name the type of triangles with the following characteristics
5x 6x-5
3x+10
Find the value of x to make the triangle equilateral.
XYZ has coordinates X(2,6) Y(4,-5) Z(-3,0). Classify the triangle by angles and sides.